78759360 has 336 divisors, whose sum is σ = 299557440. Its totient is φ = 18923520.

The previous prime is 78759353. The next prime is 78759379. The reversal of 78759360 is 6395787.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920940 + ... + 1920980.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^78759360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

78759360 is an abundant number, since it is smaller than the sum of its proper divisors (220798080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78759360 is a wasteful number, since it uses less digits than its factorization.

78759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 78759360 is about 8874.6470352347. The cubic root of 78759360 is about 428.6479253927.

The spelling of 78759360 in words is "seventy-eight million, seven hundred fifty-nine thousand, three hundred sixty".